Question on: JAMB Mathematics - 2008
Find the minimum value of the function y = x(1 + x)
A
-\(\frac{1}{4}\)
B
-\(\frac{1}{2}\)
C
\(\frac{1}{4}\)
D
\(\frac{1}{2}\)
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Correct Option: B
y = x(1 + x)
y = x + x2
(\frac{dy}{dx}) = 1 + 2x
at minimum (\frac{dy}{dx}) = 0
therefore, 1 + 2x = 0 (\to) 2x = -1
x = -(\frac{1}{2})
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